Question

If mode = 29, Arithmetic mean = 32, then median
is :
a) 29.5
b) 30
c) 30.5
d) 31
​

Answer 1

Step-by-step explanation:

Median= 29+32/2

=29.5

THIS IS A REQIRED ANSWER

Answer 2

Answer:

Option(d) 31 is the value of median.

Step-by-step explanation:

Explanation:

Given in the question that, mode = 29  and arithmetic mean = 32.

• The value that repeatedly appears in a particular set is the definition of mode. In addition to mean and median, it is one of the three measures of central tendency.

• It is calculated by dividing the total number of values in a list of values, such as measurements or numbers, by the total number of values in the list.

• A dataset that is listed in ascending order has a median statistic that shows the middle number.

Relation between mode, mean and median

       Mode = 3 Median - 2 Mean.

Step 1:

We have, mode = 29, mean = 32.

From the formula,

Mode = 3 Median - 2 Mean

⇒29 = 3 Median - 2(32)

⇒29 + 64 = 3 Median

⇒Median = $\frac{29 + 64}{3}$ = $\frac{93}{3}$ = 31.

Final answer:

Hence, 31 is the value of median.

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